Heat kernel estimates and L p-spectral theory of locally symmetric spaces
Andreas Weber
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental group of M is small (in a certain sense) or if the fundamental group is arithmetic and M is non-compact.
Categories:
Year:
2007
Publisher:
KIT Scientific Publishing
Language:
english
Pages:
110
ISBN 10:
3866441088
ISBN 13:
9783866441088
File:
PDF, 2.01 MB
IPFS:
,
english, 2007